Question

Write an inequality for the following statements. 1. You need to earn at least $25 to buy the dvd. 2. You can spend no more than $15 on your meal. 3. The movie will be at least 2 hours. 4. The car ride to Florida will be no more than 8 hours.​

Answer 1

Inequalities can represent statements about financial constraints: E >= $25, M <= $15, T >= 2 hours, and C <= 8 hours; these illustrate a typical consumer's budget problem.

Step-by-step explanation:

When it comes to expressing budget constraints and making decisions based on financial limitations, inequalities are a useful tool in mathematics. For the statements provided, the corresponding inequalities would be:

• You need to earn at least $25 to buy the DVD: E ≥ $25, where E represents your earnings.
• You can spend no more than $15 on your meal: M ≤ $15, where M represents the money spent on the meal.
• The movie will be at least 2 hours: T ≥ 2 hours, where T represents the time duration of the movie.
• The car ride to Florida will be no more than 8 hours: C ≤ 8 hours, where C represents the time duration of the car ride.

These inequalities must be satisfied to meet the conditions stated in each situation, reflecting the typical consumer's budget problem where limited income must be allocated to various needs and wants effectively.